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Free_Kalibri [48]
4 years ago
5

MATH HELP

Mathematics
2 answers:
Veronika [31]4 years ago
4 0
The remaining area is 20% of the previous area.

Hope this Helps!
LenKa [72]4 years ago
4 0
Let's just take a look at the first two points plotted, (0,100) and (1, 80). The difference between 100 and 80 is 20, but what percent of 100 is 20? Well, since any percent x% can be represented as a fraction in the form \frac{x}{100}, and the the ratio of 20 to 100 is already \frac{20}{100}, our answer is a 20% decrease, which means that you're taking 100 - 20 = 80% of the previous area at each point.

Edit: Since I misread the question, I want to reframe my previous explanation instead in terms of <em>what percent of the area of the previous point is left</em>.

Looking again at the areas plotted, what percent of 100 sq. cm is 80 sq. cm? We want to translate the question into math, and our first indicator of where to start is the phrase "what percent of 100 sq. cm." When we talk about taking a fraction or percent <em>of</em> another quantity, we're usually referring to multiplying that fraction by that quantity. In this case, we have our unknown percent, \frac{x}{100}, multiplied by 100, which, of course, just leaves you with x. And we're told that this quantity is equal to 80, so we have our answer. x = 80, so we're going to be taking 80% of the area each step.
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On cold days Leah likes to make hot chocolate. She uses 8 tablespoons of cocoa and 2 tabelspoons of sugar, what ratio is equival
galben [10]

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4 to 1

Step-by-step explanation:

The greatest common factor between 8 and 2 is 2. So 2 will go into 8, 4 times. And 2 will go into 2, 1 time. So simplified the equivalent ratio is 4:1.

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What is the quotient when x3 − 5x2 + 3x − 8 is divided by x − 3? (2 points)
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3 years ago
Subtract 5x^2-2x-55x 2 −2x−5 from -2x^2-5x-7−2x 2 −5x−7.
leva [86]

Answer:

7x^2 -128x -19

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
If total advertising expenditures on television advertising declined 4.1% to $141.7 billion in the current year, how much was sp
Vanyuwa [196]

Using proportions, it is found that $147.8 billion was spent on television advertising in the previous year.

  • $x, in billions, was spent on advertising expenditures on television last year.
  • This year, the amount declined 4.1%, hence it is 100% - 4.1% = 95.9% of last year's amount, that is, 0.959x.

This year spending's is of 141.7 billion, hence, the equation is:

0.959x = 141.7

x = \frac{141.7}{0.959}

x = 147.8

$147.8 billion was spent on television advertising in the previous year.

To learn more about proportions, you can take a look at brainly.com/question/24372153

4 0
3 years ago
I'm studying a new bacteria that doubles in numbers every 25 minutes. If i start with 50 bacteria, how long until i have 5 milli
dimaraw [331]

Answer:

415.63 minutes

Step-by-step explanation:

Growth can be represented by the equation A=A_0e^{rt}. We can find the rate at which it grows by using t=25 minutes and \frac{A_{0}}{A} =2 or double the amount at that time. The first step we always take is to divide A_0 by A.

[tex]\frac{A_{0}}{A}=e^{rt}\\2=e^{r(25)}

2=e^{(25)r}

To solve for r, we will take the natural log of both sides and use log rules to isolate r.

ln 2=ln e^{(25)r}\\ln 2=25r (ln e)\\\frac{ln2}{25} =r

We know lne=1 so we were able to cancel it out and divide both sides by 25.

We solve with a calculator \frac{ln2}{25} =r\\0.0277=r

We change 0.0277 into a percent by multiplying by 100 to get 2.77% as the rate.

The equation is A=A_0e^{0.0277t} .

We repeat the step above substituting A=5,000,000, A_0=50, and r=0.02777. Then solve for t.

5000000=50e^{0.0277t}\\\frac{5000000}{50} =e^{0.0277t}\\100000=e^{0.0277t}\\ln100000=lne^{0.0277t}\\ln100000=0.02777t(lne)\\\frac{ln100000}{0.0277} =t

t=415.63 minutes

6 0
4 years ago
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